Explanation Given Information: The given pair of equations are 3 x − 2 y = − 11 and 7 x − 10 y = − 47 . Calculation: Consider the equations 3 x − 2 y = − 11 and 7 x − 10 y = − 47 . Multiply the equation 3 x − 2 y = − 11 by − 5 on both the sides, we get, − 5 ( 3 x − 2 y ) = − 5 ( − 11 ) − 15 x + 10 y = 55 Now add the equations as, − 15 x + 10 y = 55 7 x − 10 y = − 47 _ − 8 x + 0 = 8 − 8 x = 8 Divide both sides by 8, x = − 8 8 x = − 1 Put x = − 1 in equation 7 x − 10 y = − 47 to get, 7 x − 10 y = − 47 7 ( − 1 ) − 10 y = − 47 − 10 y = − 47 + 7 − 10 y = − 40 Divide both sides by 10, − y = − 40 10 y = 4 Thus, the ordered pair of solution for the pair of equations 3 x − 2 y = − 11 and 7 x − 10 y = − 47 is ( − 1 , 4 )

Student Solutions Manual For Ewen/nelson's Elementary Technical Mathematics, 11th

11th Edition

ISBN: 9781285199276

Author: Dale Ewen

Publisher: Cengage Learning

See similar textbooks

Concept explainers

Family of Curves

A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These…

XZ Plane

In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are…

Euclidean Geometry

Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) ge…

Lines and Angles

In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.

Videos

Question

Chapter 9.2, Problem 15E

To determine

To calculate: The solution set for the pair of equations 3x−2y=−117x−10y=−47, If there is no solution

then determine whether the pair of lines is parallel or coincide.

Expert Solution & Answer

Chapter 9 Solutions

Student Solutions Manual For Ewen/nelson's Elementary Technical Mathematics, 11th

Ch. 9.1 - Draw the graphs of each pair of linear equations....Ch. 9.1 - Prob. 2E Ch. 9.1 - Draw the graphs of each pair of linear equations....Ch. 9.1 - Prob. 4E Ch. 9.1 - Prob. 5E Ch. 9.1 - Prob. 6E Ch. 9.1 - Prob. 7E Ch. 9.1 - Prob. 8E Ch. 9.1 - Draw the graphs of each pair of linear equations....Ch. 9.1 - Draw the graphs of each pair of linear equations....

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.

The solution set for the pair of equations 3 x − 2 y = − 11 7 x − 10 y = − 47 , If there is no solution then determine whether the pair of lines is parallel or coincide.

Solution Summary: The author calculates the solution set for the pair of equations c3x-2y=-11 7x-10y =-47end

Concept explainers

Videos

To calculate: The solution set for the pair of equations 3x−2y=−117x−10y=−47, If there is no solution

then determine whether the pair of lines is parallel or coincide.

Chapter 9 Solutions

The solution set for the pair of equations 3 x − 2 y = − 11 7 x − 10 y = − 47 , If there is no solution then determine whether the pair of lines is parallel or coincide.

Solution Summary: The author calculates the solution set for the pair of equations c3x-2y=-11 7x-10y =-47end

Concept explainers

Videos

To calculate: The solution set for the pair of equations 3x−2y=−117x−10y=−47, If there is no solution then determine whether the pair of lines is parallel or coincide.

Chapter 9 Solutions

To calculate: The solution set for the pair of equations 3x−2y=−117x−10y=−47, If there is no solution

then determine whether the pair of lines is parallel or coincide.